Question

find the roots of equation x^2+7x+10=0​

Answer 1

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Question :

➡ Find the roots of equations x²+7x+10=0

Given equation :

➡ x²+7x+10

Solution:

$\implies \large \rm \: {x}^{2} + 7x + 10 = 0$

$\\ \implies \large \rm \: {x}^{2} + 5x + 2x + 10 = 0$

$\\ \implies \large \rm \: x(x + 5) + 2(x + 5) = 0$

$\\ \implies \large \rm \: (x + 5)(x + 2) = 0$

$\\ \implies \large \rm \: x = - 5 \: \: \: and \: \: \: x = - 2$

$\\ \large\blue \bigstar\boxed{ \rm{roots \: are \: x = - 5 \: and \: x = - 2}}$